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Exercises 21.3, page 582

1. $C (1, - 1), r = 4$ $C (1, - 1), r = 4$
3. $C (3, 4), r = 7$ $C (3, 4), r = 7$
5. $(2, 1), r = 5$ $(2, 1), r = 5$
7. $C (- 1, 0), r = \frac{11}{2}$ $C (- 1, 0), r = \frac{11}{2}$
9. $x^{2} + y^{2} = 9$ $x^{2} + y^{2} = 9$
11. ${(x - 2)}^{2} + {(y - 3)}^{2} = 16,$ ${(x - 2)}^{2} + {(y - 3)}^{2} = 16,$ or $x^{2} + y^{2} - 4 x - 6 y - 3 = 0$ $x^{2} + y^{2} - 4 x - 6 y - 3 = 0$
13. ${(x - 12)}^{2} + {(y + 15)}^{2} = 324,$ ${(x - 12)}^{2} + {(y + 15)}^{2} = 324,$ or $x^{2} + y^{2} - 24 x + 30 y + 45 = 0$ $x^{2} + y^{2} - 24 x + 30 y + 45 = 0$
15. ${(x + 3)}^{2} + {(y - 4)}^{2} = 25$ ${(x + 3)}^{2} + {(y - 4)}^{2} = 25$
17. ${(x - 2)}^{2} + {(y - 1)}^{2} = 8$ ${(x - 2)}^{2} + {(y - 1)}^{2} = 8$
19. ${(x + 3)}^{2} + {(y - 5)}^{2} = 25,$ ${(x + 3)}^{2} + {(y - 5)}^{2} = 25,$ or $x^{2} + y^{2} + 6 x - 10 y + 9 = 0$ $x^{2} + y^{2} + 6 x - 10 y + 9 = 0$
21. ${(x + 2)}^{2} + {(y - 2)}^{2} = 4$ ${(x + 2)}^{2} + {(y - 2)}^{2} = 4$ , or $x^{2} + y^{2} + 4 x - 4 y + 4 = 0$ $x^{2} + y^{2} + 4 x - 4 y + 4 = 0$
23. $x^{2} + y^{2} = 2$ $x^{2} + y^{2} = 2$
25. $(0, 3), r = 2$ $(0, 3), r = 2$
27. $(- 1, 5), r = \frac{9}{2}$ $(- 1, 5), r = \frac{9}{2}$
29. $(1, 0), r = 3$ $(1, 0), r = 3$
31. $(- 2.1, 1.3), r = 3.1$ $(- 2.1, 1.3), r = 3.1$
33. $(0, 2), r = \frac{5}{2}$ $(0, 2), r = \frac{5}{2}$
35. $(1, 2), r = \frac{1}{2} \sqrt{22}$ $(1, 2), r = \frac{1}{2} \sqrt{22}$
37. Symmetric to both axes and origin
39. Symmetric to y-axis
41. 64 sq. units
43. (1,0), (5,0)
45. $16 π {unit}^{2}$ $16 π {unit}^{2}$
47. $(7, 0), (- 1, 0)$ $(7, 0), (- 1, 0)$
49. The x- and y-axes may not be scaled equally.
51.
53.
1. Semicircle
2. Semicircle
3. Yes, there is only one value of y for each x in the domain.
55. Outside
57. $p > 0,$ $p > 0,$ circle; $p = 0,$ $p = 0,$ point; $p < 0,$ $p < 0,$ does not exist
59. 0.0912 in.
61. 2.82 in.
63. $x^{2} + y^{2} = 0.0100$ $x^{2} + y^{2} = 0.0100$
65. $x^{2} + {(y + 7)}^{2} = 1$ $x^{2} + {(y + 7)}^{2} = 1$
67. ${(x - 500 \times 10^{- 6})}^{2} + y^{2} = 0.16 \times 10^{- 6}$ ${(x - 500 \times 10^{- 6})}^{2} + y^{2} = 0.16 \times 10^{- 6}$

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Table of Contents for Exercises 21.3, page 582

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Table of Contents for
Exercises 21.3, page 582